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Finding the Fourth Proportional to 676.77, 933.90 and 378.02

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Solution

The fourth proportional to 676.77, 933.90 and 378.02 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.77 : 933.90 = 378.02 : x
  2. Step 2: Convert to fraction form
    676.77/933.90 = 378.02/x
  3. Step 3: Cross multiply
    676.77x = 933.90 × 378.02
  4. Step 4: Simplify right side
    676.77x = 353,028.21
  5. Step 5: Solve for x
    x = 353,028.21/676.77
  6. Step 6: Final answer
    x = 521.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.